Question

A 10-foot ladder is learning against wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?

Answer 1

Answer:

$4\sqrt{6} feet$

Step-by-step explanation:

Step 1:  Make an equation to represent the scenario

$a^2 + b^2 = c^2$

$(2)^2 + b^2 = (10)^2$

$4 + b^2 - 4 = 100 - 4$

$b^2 = 96$

Step 2:  Square root both sides

$\sqrt{b^2} = \sqrt{96}$

$b = \sqrt{4^2*6}$

$b=4\sqrt{6}$

Answer:  $4\sqrt{6} feet$